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What is the Least Common Multiple of 10633 and 10647?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 10633 and 10647 is 16172793.

LCM(10633,10647) = 16172793

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Least Common Multiple of 10633 and 10647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10633 and 10647, than apply into the LCM equation.

GCF(10633,10647) = 7
LCM(10633,10647) = ( 10633 × 10647) / 7
LCM(10633,10647) = 113209551 / 7
LCM(10633,10647) = 16172793

Least Common Multiple (LCM) of 10633 and 10647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10633 and 10647. First we will calculate the prime factors of 10633 and 10647.

Prime Factorization of 10633

Prime factors of 10633 are 7, 31. Prime factorization of 10633 in exponential form is:

10633 = 73 × 311

Prime Factorization of 10647

Prime factors of 10647 are 3, 7, 13. Prime factorization of 10647 in exponential form is:

10647 = 32 × 71 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 10633 and 10647.

LCM(10633,10647) = 73 × 311 × 32 × 132
LCM(10633,10647) = 16172793